TY - BOOK
AU - Steinbach,Olaf
ED - SpringerLink (Online service)
TI - Numerical Approximation Methods for Elliptic Boundary Value Problems: Finite and Boundary Elements
SN - 9780387688053
AV - QA297-299.4
U1 - 518 23
PY - 2008///
CY - New York, NY
PB - Springer New York
KW - Mathematics
KW - Applied mathematics
KW - Engineering mathematics
KW - Numerical analysis
KW - Numerical Analysis
KW - Applications of Mathematics
KW - Appl.Mathematics/Computational Methods of Engineering
N1 - Boundary Value Problems -- Function Spaces -- Variational Methods -- Variational Formulations of Boundary Value Problems -- Fundamental Solutions -- Boundary Integral Operators -- Boundary Integral Equations -- Approximation Methods -- Finite Elements -- Boundary Elements -- Finite Element Methods -- Boundary Element Methods -- Iterative Solution Methods -- Fast Boundary Element Methods -- Domain Decomposition Methods
N2 - Although the aim of this book is to give a unified introduction into finite and boundary element methods, the main focus is on the numerical analysis of boundary integral and boundary element methods. Starting from the variational formulation of elliptic boundary value problems boundary integral operators and associated boundary integral equations are introduced and analyzed. By using finite and boundary elements corresponding numerical approximation schemes are considered. This textbook may serve as a basis for an introductory course in particular for boundary element methods including modern trends such as fast boundary element methods and efficient solution methods, as well as the coupling of finite and boundary element methods
UR - http://dx.doi.org/10.1007/978-0-387-68805-3
ER -